On one property of the movement on the outskirts of the Solar System

Abstract

A numerical simulation of the equipotential surfaces of the gravitational field in the immediate vicinity of the Solar System has been performed taking into account gravitational perturbations from the Galactic tide and 355 stars closest to the Sun. It is demonstrated that at certain values of the gravitational potential energy, the Sun shares the equipotential surface with Toliman (Alpha Centauri B), Sirius and Procyon. The use of a method of numerical integration of the equations of motion of 150 test bodies has shown instability of circular orbits with a radius of 60,000 au about the Sun.